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TECHNICAL PAPERS

A Ground Resistance for Vertical Bore Heat Exchangers With Groundwater Flow

[+] Author and Article Information
Matthew G. Sutton, Darin W. Nutter, Rick J. Couvillion

University of Arkansas, Department of Mechanical Engineering, Fayetteville, AR 72701

J. Energy Resour. Technol 125(3), 183-189 (Aug 29, 2003) (7 pages) doi:10.1115/1.1591203 History: Received February 01, 2002; Revised December 01, 2002; Online August 29, 2003
Copyright © 2003 by ASME
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References

1999 ASHRAE Handbook HVAC Applications, 1999, American Society of Heating, Refrigerating, and Air Conditioning Engineers.
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Hellström, G., 1991, Ground Heat Storage Thermal Analyses of Duct Storage Systems, Department of Mathematical Physics, University of Lund, Sweden.
Sutton, M. G., 2001, A Multi-Layered Design Algorithm For Vertical Bore Heat Exchanger, MS Thesis, University of Arkansas.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, 2/ed., Oxford University Press, Great Britain.
Chiasson, A. D., Rees, S. J., and Spitler, J. D., 2000, A Preliminary Assessment of the Effects of Groundwater Flow on Closed-Loop Ground-Source Heat Pump Systems, ASHRAE Transactions106 (1): DA-00-13-5 (4365).
Cheng,  P., 1982, “Mixed Convection About a Horizontal Cylinder and a Sphere in a Fluid-Saturated Porous Medium,” Int. J. Heat Mass Transfer, 25, pp. 1245–1247.
Claesson, J., and Dunand, A., 1983, Heat Extraction From the Ground by Horizontal Pipes, Stockholm: Swedish Council for Building Research.
Badr,  H. M., and Pop,  I., 1988, “Combined Convection From an Isothermal Horizontal Rod Buried in a Porous Medium,” Int. J. Heat Mass Transfer, 31, pp. 2527–2541.
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Zubair,  S. M., and Chaudhry,  M. A., 1996. “Temperature Solutions Due to Time-Dependent Moving-Line-Heat Sources,” Heat and Mass Transfer 31, pp. 185–189.
Bear, J., 1972, Dynamics of Fluids in Porous Media, American Elsevier Publishing Company, Inc., New York, NY.
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Figures

Grahic Jump Location
Complete single bore resistance analogy
Grahic Jump Location
The angular symmetry of a conduction-only ground resistance. The outer circle shows the shape of an isotherm for this particular groundwater flow scenario (Pe=0). The inner circle is merely representative of a borehole. (Pe=0indicates conduction only.)
Grahic Jump Location
The lack of angular symmetry for the convection ground resistance. The outer ellipse shows the shape of an isotherm for this particular groundwater flow scenario (Pe=2.0). The inner circle is merely representative of a borehole.
Grahic Jump Location
Natural log of the Fourier time constant versus Peclet number. The dashed line is the curve-fit (with R2=0.9999) calculated according to Eq. 21
Grahic Jump Location
Dimensionless temperature, θ̄, (i.e., ground response) versus Fourier number for both a convective line heat source (Pe=9.16, dashed line) and a conduction-only line heat source (solid line). Note: the maximum Fourier number corresponds to 20 years.
Grahic Jump Location
Dimensionless temperature, θ̄, (i.e., ground response) versus Fourier number for both a convective line heat source (Pe=0.23, dashed line) and a conduction-only line heat source (solid line). Note: the maximum Fourier number corresponds to 20 years.
Grahic Jump Location
Dimensionless temperature, θ̄, (i.e., ground response) versus Fourier number for both a convective line heat source (Pe=0.086, dashed line) and a conduction-only line heat source. Note: the maximum Fourier number corresponds to 20 years.
Grahic Jump Location
Dimensionless temperature, θ̄, (i.e., ground response) versus Fourier number for both a convective line heat source (Pe=2.65E−5) and a conduction-only line heat source. Because of the small Peclet number, the two lines coincide. Note: the maximum Fourier number corresponds to 20 years.

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